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Rectangle areas are found by calculating height x width. The width of each rectangle equals Ax and the height of each rectangle is given by the function value at the right-hand side of the rectangle.

Rectangle areas are found by calculating height x width. The width of each rectangle equals Ax and the height of each rectangle is given by the function value at the right-hand side of the rectangle.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Part (a) Estimate the area under the graph of f(x) = cos(x) from x = 0 to x = π/2. Use four approximating rectangles and right endpoints. Is your estimate an underestimate or an overestimate? Step 1 of 4 Rectangle areas are found by calculating height x width. The width of each rectangle equals Ax and the height of each rectangle is given by the function value at the right-hand side of the rectangle. So we must calculate R4 = Since we wish to estimate the area over the interval [0, using 4 rectangles of equal widths, then each rectangle will have width 4x = Step 2 of 4 We wish to find R4 = [f(x1) + f(x₂) + f(X3) + f(x4)] <4)](T). Since X1, X2, X3, X4 represent the right-hand endpoints of the four sub-intervals of [0, Submit X1 = f(xi) Ax = [f(x₁) + f(x₂) + f(x3) + f(x4)] Ax, where x₁, X2, x3, x4 represent the right-hand endpoints of four equal sub-intervals of [0]. i = 1 x2 = x3 = X4 = Skip (you cannot come back) then we must have the following.
Transcribed Image Text:Part (a) Estimate the area under the graph of f(x) = cos(x) from x = 0 to x = π/2. Use four approximating rectangles and right endpoints. Is your estimate an underestimate or an overestimate? Step 1 of 4 Rectangle areas are found by calculating height x width. The width of each rectangle equals Ax and the height of each rectangle is given by the function value at the right-hand side of the rectangle. So we must calculate R4 = Since we wish to estimate the area over the interval [0, using 4 rectangles of equal widths, then each rectangle will have width 4x = Step 2 of 4 We wish to find R4 = [f(x1) + f(x₂) + f(X3) + f(x4)] <4)](T). Since X1, X2, X3, X4 represent the right-hand endpoints of the four sub-intervals of [0, Submit X1 = f(xi) Ax = [f(x₁) + f(x₂) + f(x3) + f(x4)] Ax, where x₁, X2, x3, x4 represent the right-hand endpoints of four equal sub-intervals of [0]. i = 1 x2 = x3 = X4 = Skip (you cannot come back) then we must have the following.
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